Optimal trajectories in $L^1$ and under $L^1$ penalizations
Motivated by a MFG model where the trajectories of the agents are piecewise constants and agents pay for the number of jumps, we study a variational problem for curves of measures where the cost includes the length of the curve measures with the $L^1$ distance, as well as other, non-autonomous, cost...
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Main Authors: | Dumas, Annette, Santambrogio, Filippo |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-07-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.583/ |
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